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Finding the Third Proportional to 2,587,146 and 5,442,393

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Solution

The third proportional to 2,587,146 and 5,442,393 is: 11,448,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,146 : 5,442,393 = 5,442,393 : x
  2. Step 2: Convert to fraction form
    2,587,146/5,442,393 = 5,442,393/x
  3. Step 3: Cross multiply
    2,587,146x = 5,442,393 × 5,442,393
  4. Step 4: Simplify right side
    2,587,146x = 29,619,641,566,449
  5. Step 5: Solve for x
    x = 29,619,641,566,449/2,587,146
  6. Step 6: Final answer
    x = 11,448,770.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.